Ratio and Proportion - Bank Exams NCERT Mathematics Free MCQ Test with solutions

Test: Ratio & Proportion - Question 1

If 12, 14; 9 and x are in proportion then find the value of x.

A.
21
B.
9
C.
10.5
D.
105

Detailed Solution: Question 1

To find the value of x:

Set up the proportion: 12/14 = 9/x.
Cross-multiply to eliminate the fraction: 12x = 9 * 14.
Calculate the right side: 12x = 126.
Now, solve for x: x = 126/12.
This simplifies to: x = 10.5.

Test: Ratio & Proportion - Question 2

If 8, 18, 18 and x in proportion then find the value of x.

A.
40.5
B.
18
C.
405
D.
81

Detailed Solution: Question 2

The given terms form a proportion as follows:

8/18 = 18/x

Cross-multiplying gives:

8x = 324

Solving for x gives:

x = 40.5

This confirms that the correct answer is option A, 40.5.

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Test: Ratio & Proportion - Question 3

If 3, 8 and15 ,x are in proportion then find the value of x.

A.
15
B.
20
C.
40
D.
30

Detailed Solution: Question 3

To find the value of x when 3, 8, 15, and x are in proportion:

Set up the proportion: 3/8 = 15/x
Cross-multiply to eliminate the fraction: 3x = 15 * 8
Calculate the right side: 15 * 8 = 120
So, the equation becomes: 3x = 120
Now, solve for x: x = 120/3
Thus, x = 40

Test: Ratio & Proportion - Question 4

If 5, 30, 3 and x are in proportion then find the value of x.

A.
24
B.
6
C.
18
D.
15

Detailed Solution: Question 4

To find the value of x in the proportion of 5, 30, 3, and x, follow these steps:

Set up the proportion: 5/30 = 3/x.
Cross-multiply to solve for x: 5 * x = 30 * 3.
This simplifies to: 5x = 90.
Now, divide both sides by 5: x = 90/5.
Thus, x = 18.

The correct answer is 18.

Test: Ratio & Proportion - Question 5

If x, 24 and 30,16 are in proportion, then find the value of x.

A.
30
B.
45
C.
15
D.
None of these

Detailed Solution: Question 5

Test: Ratio & Proportion - Question 6

If 9, 18, x and 8 are in proportion then find the value of x.

A.
2
B.
4
C.
3
D.
None of these

Detailed Solution: Question 6

Use the proportion formula to find the value of (x).

Test: Ratio & Proportion - Question 7

If x, 30,24 and 16 are in proportion then find the value of x.

A.
45
B.
60
C.
15
D.
80

Detailed Solution: Question 7

Given the terms x, 30, 24, and 16 are in proportion, we set up the ratio as: x/30 = 24/16. Cross-multiplying gives: x × 16 = 30 × 24. Thus, 16x = 720. Solving for x gives x = 720/16 = 45.

Test: Ratio & Proportion - Question 8

If 49, 35, x and 25 are in proportion then find the value of x.

A.
25
B.
15
C.
12
D.
35

Detailed Solution: Question 8

Test: Ratio & Proportion - Question 9

The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present ages of the father is

A.
35 years
B.
40 years
C.
30 years
D.
25 years

Detailed Solution: Question 9

Let present age of father be 7x and that of son is 2x

after 10 years, their ages will be 7x+10 and 2x+10 respectively

so ratio will be

(7x+10)/(2x+10) = 9/4

28x+40 = 18x+90

10x = 50

x = 5

so present age of father is 7x =

35 years

Test: Ratio & Proportion - Question 10

If 14, 16, x and 24 are in proportion then find the value of x.

A.
10.5
B.
21
C.
5
D.
None of these

Detailed Solution: Question 10

To find the value of x in the proportion 14 : 16 = x : 24, use cross-multiplication:
14 × 24 = 16 × x
336 = 16x
Divide both sides by 16:
x = 21

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